Global small amplitude solutions to systems of nonlinear wave equations with multiple speeds
Katayama, Soichiro ; Yokoyama, Kazuyoshi
Osaka J. Math., Tome 43 (2006) no. 2, p. 283-326 / Harvested from Project Euclid
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We give a global existence theorem to systems of quasilinear wave equations in three space dimensions, especially for the multiple-speed cases. It covers a wide class of quadratic nonlinearities which may depend on unknowns as well as their first and second derivatives. Our proof is achieved through total use of pointwise and $L^2$-estimates concerning unknowns and their first and second derivatives.
Publié le : 2006-06-14
Classification:  35L70,  35L05,  35L15,  35L55 
@article{1152203942,
     author = {Katayama, Soichiro and Yokoyama, Kazuyoshi},
     title = {Global small amplitude solutions to systems of nonlinear wave equations with multiple speeds},
     journal = {Osaka J. Math.},
     volume = {43},
     number = {2},
     year = {2006},
     pages = { 283-326},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1152203942}
}

Katayama, Soichiro; Yokoyama, Kazuyoshi. Global small amplitude solutions to systems of nonlinear wave equations with multiple speeds. Osaka J. Math., Tome 43 (2006) no. 2, pp.  283-326. http://gdmltest.u-ga.fr/item/1152203942/